Cauchy-type problem for an abstract differential equation with fractional derivatives

Mathematical Notes

Volumn 77, Issue 1-2, 2005, Pages 26-38

  Glushak, A V ^a  

^a VORONEZH STATE TECHNICAL UNIVERSITY   (Russian Federation)

Author keywords

Banach space; Cauchy type problem; Differential equation with fractional derivatives; Mellin integral; Post Widder inversion formula; Uniform well posedness

Indexed keywords

EID: 20144362710     PISSN: 00014346     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11006-005-0003-5     Document Type: Article

References (13)

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10. E. V. Brovkina and A. V. Glushak, "An equation of Euler-Poisson-Darboux type with fractional derivative" (Manuscript deposited at VINITI on July 14, 2000; deposition no. 1961-V00) [in Russian], Voronezh State Technical University, Voronezh, 2000.
11. E. V. Brovkina and A. V. Glushak, "On a degenerate differential equation with fractional derivative and bounded operator" (Manuscript deposited at VINITI on September 11, 2001; deposition no. 1949-V2001) [in Russian], Voronezh State Technical University, Voronezh, 2001.
12. E. Hille and R. Phillips, Functional Analysis and Semi-Groups, Amer.Math.Soc., Providence, RI, 1957; Russian translation: Mir, Moscow, 1962.
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